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Finding the Third Proportional to 15,150 and 22,230

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Solution

The third proportional to 15,150 and 22,230 is: 32,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,150 : 22,230 = 22,230 : x
  2. Step 2: Convert to fraction form
    15,150/22,230 = 22,230/x
  3. Step 3: Cross multiply
    15,150x = 22,230 × 22,230
  4. Step 4: Simplify right side
    15,150x = 494,172,900
  5. Step 5: Solve for x
    x = 494,172,900/15,150
  6. Step 6: Final answer
    x = 32,618.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.